Application of Normal Forms to a Laminated Composite Piezoelectric Rectangular Plate with One-to-Three Internal Resonance

Shu Ping Chen

doi:10.4028/www.scientific.net/AMM.483.14

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Application of Normal Forms to a Laminated Composite Piezoelectric Rectangular Plate with One-to-Three Internal Resonance
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 483Application of Normal Forms to a Laminated...

Application of Normal Forms to a Laminated Composite Piezoelectric Rectangular Plate with One-to-Three Internal Resonance

Abstract:

Normal form theory is very useful for direct bifurcation and stability analysis of nonlinear differential equations modeled in real life. This paper develops a new computation method for obtaining a significant refinement of the normal forms for high dimensional nonlinear systems. In the theoretical model for the nonlinear oscillation of a composite laminated piezoelectric plate under the parametrically and externally excitations, the theory of normal form is applied to find the explicit formulas of normal forms associated with a double zero and a pair of pure imaginary eigenvalues.

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Periodical:

Applied Mechanics and Materials (Volume 483)

Pages:

14-17

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.483.14

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Online since:

December 2013

Authors:

Shu Ping Chen*

Keywords:

Composite Laminated Piezoelectric Plate, Nonlinear Oscillations, Nonlinear Transformation, Normal Form

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